What is the value of y? : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 09 Dec 2016, 15:12

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the value of y?

Author Message
TAGS:

Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 537
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 74

Kudos [?]: 2864 [0], given: 217

What is the value of y? [#permalink]

Show Tags

02 Nov 2011, 12:11
1
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

45% (02:01) correct 55% (01:32) wrong based on 74 sessions

HideShow timer Statistics

What is the value of y?

(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-y-127976.html
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Intern
Joined: 01 May 2011
Posts: 10
Followers: 0

Kudos [?]: 3 [3] , given: 1

Re: What is the value of y? [#permalink]

Show Tags

02 Nov 2011, 13:37
3
KUDOS
from 2nd we got 2 roots: -8 or 14, check this roots with 1st statement we see that 3|x^2-4| can't be negative, so -8 is out. 14 is left and it's the only choice left.
Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 537
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 74

Kudos [?]: 2864 [0], given: 217

Re: What is the value of y? [#permalink]

Show Tags

02 Nov 2011, 14:03
Thanks aaaqqq222. Much appreciated.
_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Senior Manager
Joined: 18 Sep 2009
Posts: 359
Followers: 3

Kudos [?]: 421 [0], given: 2

Re: What is the value of y? [#permalink]

Show Tags

03 Nov 2011, 08:35
can somebody explain the question in detail. I understand the stmnt(2).
I solved stmnt (i) like this

3(x.x-4)=y-2
3x.x -12 =y-2
y=3x.x -10

by assigining "-" to absolute value

-3x.x +14=y
when equal 2 equations
14=-10.
Manager
Joined: 06 Feb 2011
Posts: 83
GMAT 1: Q V
GMAT 2: Q V
GMAT 3: Q V
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 21 [0], given: 11

Re: What is the value of y? [#permalink]

Show Tags

03 Nov 2011, 11:20
Here is my take, can the experts confirm please if my approach is correct ?

1. 3|x^2-4|= y-2 gives us 2 values if we open the modulus, for the 2 values y = 3x^2 -10 and y = 14 – 3x^2. NOT SUFFICIENT.

2. |3-y|=11, gives y = -8, 14 if we open the modulus. NOT SUFFICIENT.

Combining 1 and 2. if we put the values y = -8, 14 in 3|x^2-4|= y-2,
If y = -8, 3|x^2-4|= -10, not possible as
If y = 14, 3|x^2-4|= 12, Only possible value.

Hence Ans is C.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12904
Followers: 562

Kudos [?]: 158 [0], given: 0

Re: What is the value of y? [#permalink]

Show Tags

12 Mar 2015, 07:19
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35932
Followers: 6860

Kudos [?]: 90098 [1] , given: 10413

Re: What is the value of y? [#permalink]

Show Tags

12 Mar 2015, 08:39
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
enigma123 wrote:
What is the value of y?

(1) 3|x^2 - 4| = y - 2
(2) |3 - y| = 11

What is the value of y?

(1) $$3|x^2-4|=y-2$$. Now, since we are asked to find the value of y, from this statement we can conclude only that $$y\geq{2}$$, as LHS is absolute value which is never negative, hence RHS als cannot be negative. Not sufficient.

(2) $$|3 - y| = 11$$:

$$y<3$$ --> $$3-y=11$$ --> $$y=-8$$;
$$y\geq{3}$$ --> $$-3+y=11$$ --> $$y=14$$.

Two values for $$y$$. Not sufficient.

(1)+(2) Since from (1) $$y\geq{2}$$, then from (2) $$y=14$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-value-of-y-127976.html
_________________
Re: What is the value of y?   [#permalink] 12 Mar 2015, 08:39
Similar topics Replies Last post
Similar
Topics:
1 What is the value of y? 6 04 Dec 2012, 22:23
What is the value of x – y ? 1 27 May 2012, 08:11
92 What is the value of y? 48 22 Feb 2012, 18:51
1 What is the value of y? 11 16 Jun 2011, 21:31
11 What is the value of y? 6 29 Oct 2010, 07:28
Display posts from previous: Sort by